Skip to main content
Super TutorResources
Chapter 12 of 25
Practice Quiz

Identities — Practice Quiz

ICSE · Class 8 · Mathematics

Try a 4-question quiz on Identities for ICSE Class 8 Mathematics: tap an answer to check it and see why. 75 questions in the full chapter test.

75 questions28 flashcards7 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Identities? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.

Try Super Tutor — Free

Free trial, no card needed.

Quick Quiz: Identities

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Simplify (x + 7)(x - 4).

2

Expand (3a - 2b)(3a + 2b) and choose the correct result.

3

Evaluate (200 + 8)^2.

4

Evaluate (10 - 0.3)^2.

75 Questions·
multiple choicetrue falsemultiple correct

Sample Questions

1multiple choice
3 marks

If a + b = 8 and ab = 15, find a^2 + b^2.

Show answer

34

Use (a + b)^2 = a^2 + b^2 + 2ab. Given a + b = 8 and ab = 15. 8^2 = a^2 + b^2 + 2×15 64 = a^2 + b^2 + 30 So, a^2 + b^2 = 64 - 30 = 34.

2multiple choice
3 marks

If a - b = 3 and a^2 + b^2 = 29, find ab.

Show answer

10

Use (a - b)^2 = a^2 + b^2 - 2ab. Given a - b = 3 and a^2 + b^2 = 29. 3^2 = 29 - 2ab 9 = 29 - 2ab 2ab = 20 ab = 10.

3multiple choice
3 marks

If a + b + c = 9 and a^2 + b^2 + c^2 = 29, find ab + bc + ca.

Show answer

26

Use (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca). Given a + b + c = 9 and a^2 + b^2 + c^2 = 29. 9^2 = 29 + 2(ab + bc + ca) 81 = 29 + 2(ab + bc + ca) 52 = 2(ab + bc + ca) ab + bc + ca = 26.

4multiple choice
3 marks

If a + b = 5 and ab = 6, find a^3 + b^3.

Show answer

35

Use a^3 + b^3 = (a + b)^3 - 3ab(a + b). Given a + b = 5 and ab = 6. So, a^3 + b^3 = 5^3 - 3×6×5 = 125 - 90 = 35.

+71 more questions on Identities (ICSE Class 8 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Identities for ICSE Class 8 Mathematics?
Key topics in Identities include Identity and Special Products, Expansion of Squares, Cubes of Binomials, Application of Identities. Study these first, then practise questions on each for Class 8 exams.
How many practice questions are there for Identities?
There are 75 questions on Identities. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Identities

All ICSE Class 8 Mathematics Practice Quiz

For serious students

Get the full Identities chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 8 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free